Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 2 sin t, y = 4 cos t, 0 ? t ? 2?
A. 
+ 
= 1
Counterclockwise from (0, 4) to (0, 4), one rotation
B. 
+ 
= 1
Counterclockwise from (4, 0) to (4, 0), one rotation
C. 
+ 
= 1
Counterclockwise from (0, 2) to (0, 2), one rotation
D. 
+ 
= 1
Counterclockwise from (2, 0) to (2, 0), one rotation
Answer: A
Mathematics
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